In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry. In both classical and quantum mechanical systems, angular momentum (together with linear momentum and energy) is one of the three fundamental properties of motion.
There are several angular momentum operators: total angular momentum (usually denoted J), orbital angular momentum (usually denoted L), and spin angular momentum (spin for short, usually denoted S). The term "angular momentum operator" can (confusingly) refer to either the total or the orbital angular momentum. Total angular momentum is always conserved, see Noether's theorem.
Spin, orbital, and total angular momentum
The classical definition of angular momentum is . This can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantum momentum operator. L is then an operator, specifically called the orbital angular momentum operator. Specifically, L is a vector operator, meaning , where Lx, Ly, Lz are three different operators.
MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
published: 05 Jul 2017
Angular momentum operator algebra
The structure of quantum mechanical angular momentum is treated by working out the algebraic structure of total angular momentum and the z-component. The total angular momentum operator expressed in terms of raising and lowering operators then can be used to work out the ladder of eigenvalues. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)
published: 15 May 2013
angular momentum operator || angular momentum operator in quantum mechanics
Commutation Relations between Components of Angular Momentum Operators
published: 25 Jan 2021
Angular Momentum Operators and Commutation Relations Part1
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
published: 10 Jan 2021
What is Quantization of Angular Momentum? Magnitude & Space Quantization (of subatomic particles)
Angular Momentum plays an important role not only in Classical Mechanics, but also in Quantum Physics.
However, many times students find it hard to keep track of the different aspects of angular momentum in Quantum systems, more specifically Quantization. There is Quantization of both direction and magnitude of both Orbital and Spin Angular Momentum.
What is Quantization of Angular Momentum?
What is magnitude Quantization?
What is Space Quantization?
In this video, I discuss all these things..
Related video : Nuclear Spin and Angular Momentum
https://youtu.be/LPYPhyioDfs
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COMMUTATION RELATIONS OF COMPONENTS OF ORBITAL ANGULAR MOMENTUM OPERATOR || hindi english
Angular Momentum Operators and Commutation Relations
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Ladder Operators | It's Relation with Angular Momentum in hindi
Angular momentum operators and their algebra
Angular momentum operator : commutation relationship and ladder operators
LADDER OPERATORS | COMMUTATION RELATIONS OF LADDER OPERATORS | QUANTUM MECHANICS | WITH EXAM NOTES
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MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
M...
MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
The structure of quantum mechanical angular momentum is treated by working out the algebraic structure of total angular momentum and the z-component. The total...
The structure of quantum mechanical angular momentum is treated by working out the algebraic structure of total angular momentum and the z-component. The total angular momentum operator expressed in terms of raising and lowering operators then can be used to work out the ladder of eigenvalues. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)
The structure of quantum mechanical angular momentum is treated by working out the algebraic structure of total angular momentum and the z-component. The total angular momentum operator expressed in terms of raising and lowering operators then can be used to work out the ladder of eigenvalues. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are...
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Angular Momentum plays an important role not only in Classical Mechanics, but also in Quantum Physics.
However, many times students find it hard to keep track o...
Angular Momentum plays an important role not only in Classical Mechanics, but also in Quantum Physics.
However, many times students find it hard to keep track of the different aspects of angular momentum in Quantum systems, more specifically Quantization. There is Quantization of both direction and magnitude of both Orbital and Spin Angular Momentum.
What is Quantization of Angular Momentum?
What is magnitude Quantization?
What is Space Quantization?
In this video, I discuss all these things..
Related video : Nuclear Spin and Angular Momentum
https://youtu.be/LPYPhyioDfs
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••••••••••••••••••••••••••••••••••••••••••
1) What is Nuclear Physics? ► https://youtu.be/6joildn5lqY
2) Nuclear Size / Radius ► https://youtu.be/1keKrGoqUAg
3) Quantization of Angular Momentum ► https://youtu.be/QHYJ4VpqAvs
4) Nuclear Spin and Angular Momentum ► https://youtu.be/LPYPhyioDfs
5) Nuclear Magnetic Moment ► https://youtu.be/3QniicZuVnc
6) Binding Energy of Nucleus & BE Curve ► https://youtu.be/BYRz_9wvJzA
7) Parity of Wave function ► https://youtu.be/BSTRJjElDdI
8) Symmetric & Anti symmetric Wave func ► https://youtu.be/wvnWCY9TKgw
9) Liquid Drop Model of Nucleus ► https://youtu.be/4q1i7yTcQmA
10) Corrections to Liquid Drop Model ► https://youtu.be/GeLC1AUC0W8
11) NZ Graph (& Maximizing BE) ► https://youtu.be/MHYrv_1VJdI
12) Fermi Energy of Nucleus ► https://youtu.be/aUPLjIjgYGk
13) Fermi Gas Model of Nucleus ► https://youtu.be/emSekijh7XI
14) Shell Model of Nucleus ► https://youtu.be/Rd0CJje59bE
15) Nature of (Strong) Nuclear Force) ► https://youtu.be/43AyN24jZw8
16) Alpha, Beta & Gamma Decay ► https://youtu.be/eUEgpcQHzIA
17) Gamow's Theory of Alpha Decay ► https://youtu.be/suj5MTLGAUU
18) Gamow's Theory (DERIVATION) ► https://youtu.be/QwT4tbA8UvI
19) Q Value and KE of Alpha Decay ► https://youtu.be/w0eEGiOYvus
20) Beta Decay & Neutrino Hypothesis ► https://youtu.be/avKic7oiwvA
21) Radioactive Decay Law ► https://youtu.be/fOMvJj39eTU
22) Nuclear Cross Section ► https://youtu.be/R0tdsaFJ4vg
23) Interaction of Nuclear Radiation with Matter ► https://youtu.be/Ara0eTv02No
24) What is Cherenkov Radiaton? ► https://youtu.be/AkR2daFw45U
25) Nuclear Detectors ► https://youtu.be/avvXftiyBEs
26) Geiger Muller Counter ► https://youtu.be/jxY6RC52Cf0
27) Scintillation Detector ► https://youtu.be/rjuFrk0-AOw
28) Semiconductor Detectors ► https://youtu.be/c1boCCYs77Q
29) What are Accelerators? ► https://youtu.be/-KslGjXEtKk
30) Van de Graaff Generator ► https://youtu.be/Q9bijrQfS6E
31) Linear Accelerator ► https://youtu.be/C79838wtRZo
32) Cyclotron ► https://youtu.be/L5zhpLfnqGc
33) Synchrotron ► https://youtu.be/rOXfm6EezeA
34) Betatron ► https://youtu.be/rOXfm6EezeA
35) Fission & Fusion ► https://youtu.be/L7_oi9zChqE
36) Proton-Proton & CNO Cycle ► https://youtu.be/aqnCfDqQlzA
37) Meson Theory of Nuclear Forces ► https://youtu.be/Wvjci2gP7eg
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Angular Momentum plays an important role not only in Classical Mechanics, but also in Quantum Physics.
However, many times students find it hard to keep track of the different aspects of angular momentum in Quantum systems, more specifically Quantization. There is Quantization of both direction and magnitude of both Orbital and Spin Angular Momentum.
What is Quantization of Angular Momentum?
What is magnitude Quantization?
What is Space Quantization?
In this video, I discuss all these things..
Related video : Nuclear Spin and Angular Momentum
https://youtu.be/LPYPhyioDfs
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NUCLEAR AND PARTICLE PHYSICS - Series :
••••••••••••••••••••••••••••••••••••••••••
1) What is Nuclear Physics? ► https://youtu.be/6joildn5lqY
2) Nuclear Size / Radius ► https://youtu.be/1keKrGoqUAg
3) Quantization of Angular Momentum ► https://youtu.be/QHYJ4VpqAvs
4) Nuclear Spin and Angular Momentum ► https://youtu.be/LPYPhyioDfs
5) Nuclear Magnetic Moment ► https://youtu.be/3QniicZuVnc
6) Binding Energy of Nucleus & BE Curve ► https://youtu.be/BYRz_9wvJzA
7) Parity of Wave function ► https://youtu.be/BSTRJjElDdI
8) Symmetric & Anti symmetric Wave func ► https://youtu.be/wvnWCY9TKgw
9) Liquid Drop Model of Nucleus ► https://youtu.be/4q1i7yTcQmA
10) Corrections to Liquid Drop Model ► https://youtu.be/GeLC1AUC0W8
11) NZ Graph (& Maximizing BE) ► https://youtu.be/MHYrv_1VJdI
12) Fermi Energy of Nucleus ► https://youtu.be/aUPLjIjgYGk
13) Fermi Gas Model of Nucleus ► https://youtu.be/emSekijh7XI
14) Shell Model of Nucleus ► https://youtu.be/Rd0CJje59bE
15) Nature of (Strong) Nuclear Force) ► https://youtu.be/43AyN24jZw8
16) Alpha, Beta & Gamma Decay ► https://youtu.be/eUEgpcQHzIA
17) Gamow's Theory of Alpha Decay ► https://youtu.be/suj5MTLGAUU
18) Gamow's Theory (DERIVATION) ► https://youtu.be/QwT4tbA8UvI
19) Q Value and KE of Alpha Decay ► https://youtu.be/w0eEGiOYvus
20) Beta Decay & Neutrino Hypothesis ► https://youtu.be/avKic7oiwvA
21) Radioactive Decay Law ► https://youtu.be/fOMvJj39eTU
22) Nuclear Cross Section ► https://youtu.be/R0tdsaFJ4vg
23) Interaction of Nuclear Radiation with Matter ► https://youtu.be/Ara0eTv02No
24) What is Cherenkov Radiaton? ► https://youtu.be/AkR2daFw45U
25) Nuclear Detectors ► https://youtu.be/avvXftiyBEs
26) Geiger Muller Counter ► https://youtu.be/jxY6RC52Cf0
27) Scintillation Detector ► https://youtu.be/rjuFrk0-AOw
28) Semiconductor Detectors ► https://youtu.be/c1boCCYs77Q
29) What are Accelerators? ► https://youtu.be/-KslGjXEtKk
30) Van de Graaff Generator ► https://youtu.be/Q9bijrQfS6E
31) Linear Accelerator ► https://youtu.be/C79838wtRZo
32) Cyclotron ► https://youtu.be/L5zhpLfnqGc
33) Synchrotron ► https://youtu.be/rOXfm6EezeA
34) Betatron ► https://youtu.be/rOXfm6EezeA
35) Fission & Fusion ► https://youtu.be/L7_oi9zChqE
36) Proton-Proton & CNO Cycle ► https://youtu.be/aqnCfDqQlzA
37) Meson Theory of Nuclear Forces ► https://youtu.be/Wvjci2gP7eg
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Contact: 89207-59-559
This video is useful for students pursuing Graduation and postgraduation in physics or Physical sciences.
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Contact: 89207-59-559
This video is useful for students pursuing Graduation and postgraduation in physics or Physical sciences.
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This video is useful for students pursuing Graduation and postgraduation in physics or Physical sciences.
IIT-JAM, CSIR, NET, JRF, GATE, JEST, TIFR For study free material @
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Angular Momentum Operators and Commutation Relations
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not ...
Angular Momentum Operators and Commutation Relations
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Ladder Operators | It's Relation with Angular Momentum in hindi
Angular momentum operators and their algebra
Angular momentum operator : commutation relationship and ladder operators
LADDER OPERATORS | COMMUTATION RELATIONS OF LADDER OPERATORS | QUANTUM MECHANICS | WITH EXAM NOTES
#ladderoperators
#quantummechanics
#ladder
#operator
#operators
#commutationrelation
#commutatoralgebra
#commutatoroperator
#angularmomentum
#commutationrelation
#angularmomentumoperator
#commutator
#commutators
#commutatoralgebra
#commutatoroperator
#angularmomentum
#quantummechanics
Angular Momentum Operators and Commutation Relations
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Ladder Operators | It's Relation with Angular Momentum in hindi
Angular momentum operators and their algebra
Angular momentum operator : commutation relationship and ladder operators
LADDER OPERATORS | COMMUTATION RELATIONS OF LADDER OPERATORS | QUANTUM MECHANICS | WITH EXAM NOTES
#ladderoperators
#quantummechanics
#ladder
#operator
#operators
#commutationrelation
#commutatoralgebra
#commutatoroperator
#angularmomentum
#commutationrelation
#angularmomentumoperator
#commutator
#commutators
#commutatoralgebra
#commutatoroperator
#angularmomentum
#quantummechanics
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The information pr...
Youtube Channel (Hindi) - https://www.youtube.com/channel/UCmIchtf7_PvcAOfT5p5f6eQ
Unacademy - https://unacademy.com/user/Sethi
Disclaimer
The information provided on this channel is a public service with the understanding that Gate Chemistry makes no warranties, either expressed or implied, related to completeness, accuracy, reliability or suitability of the information. The channel disclaims liability for errors and omissions that may have crept in its content.
Youtube Channel (Hindi) - https://www.youtube.com/channel/UCmIchtf7_PvcAOfT5p5f6eQ
Unacademy - https://unacademy.com/user/Sethi
Disclaimer
The information provided on this channel is a public service with the understanding that Gate Chemistry makes no warranties, either expressed or implied, related to completeness, accuracy, reliability or suitability of the information. The channel disclaims liability for errors and omissions that may have crept in its content.
MIT 8.04 Quantum Physics I, Spring 2016
View the complete course: http://ocw.mit.edu/8-04S16
Instructor: Barton Zwiebach
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu
The structure of quantum mechanical angular momentum is treated by working out the algebraic structure of total angular momentum and the z-component. The total angular momentum operator expressed in terms of raising and lowering operators then can be used to work out the ladder of eigenvalues. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum Mechanics. The Full playlist is at http://www.youtube.com/playlist?list=PL65jGfVh1ilueHVVsuCxNXoxrLI3OZAPI.)
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
Angular Momentum plays an important role not only in Classical Mechanics, but also in Quantum Physics.
However, many times students find it hard to keep track of the different aspects of angular momentum in Quantum systems, more specifically Quantization. There is Quantization of both direction and magnitude of both Orbital and Spin Angular Momentum.
What is Quantization of Angular Momentum?
What is magnitude Quantization?
What is Space Quantization?
In this video, I discuss all these things..
Related video : Nuclear Spin and Angular Momentum
https://youtu.be/LPYPhyioDfs
▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱▱
Support💖https://www.patreon.com/dibyajyotidas
Donate🤝🏻https://paypal.me/FortheLoveofPhysics
Telegram - https://t.me/FortheLoveofPhysicsYT
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NUCLEAR AND PARTICLE PHYSICS - Series :
••••••••••••••••••••••••••••••••••••••••••
1) What is Nuclear Physics? ► https://youtu.be/6joildn5lqY
2) Nuclear Size / Radius ► https://youtu.be/1keKrGoqUAg
3) Quantization of Angular Momentum ► https://youtu.be/QHYJ4VpqAvs
4) Nuclear Spin and Angular Momentum ► https://youtu.be/LPYPhyioDfs
5) Nuclear Magnetic Moment ► https://youtu.be/3QniicZuVnc
6) Binding Energy of Nucleus & BE Curve ► https://youtu.be/BYRz_9wvJzA
7) Parity of Wave function ► https://youtu.be/BSTRJjElDdI
8) Symmetric & Anti symmetric Wave func ► https://youtu.be/wvnWCY9TKgw
9) Liquid Drop Model of Nucleus ► https://youtu.be/4q1i7yTcQmA
10) Corrections to Liquid Drop Model ► https://youtu.be/GeLC1AUC0W8
11) NZ Graph (& Maximizing BE) ► https://youtu.be/MHYrv_1VJdI
12) Fermi Energy of Nucleus ► https://youtu.be/aUPLjIjgYGk
13) Fermi Gas Model of Nucleus ► https://youtu.be/emSekijh7XI
14) Shell Model of Nucleus ► https://youtu.be/Rd0CJje59bE
15) Nature of (Strong) Nuclear Force) ► https://youtu.be/43AyN24jZw8
16) Alpha, Beta & Gamma Decay ► https://youtu.be/eUEgpcQHzIA
17) Gamow's Theory of Alpha Decay ► https://youtu.be/suj5MTLGAUU
18) Gamow's Theory (DERIVATION) ► https://youtu.be/QwT4tbA8UvI
19) Q Value and KE of Alpha Decay ► https://youtu.be/w0eEGiOYvus
20) Beta Decay & Neutrino Hypothesis ► https://youtu.be/avKic7oiwvA
21) Radioactive Decay Law ► https://youtu.be/fOMvJj39eTU
22) Nuclear Cross Section ► https://youtu.be/R0tdsaFJ4vg
23) Interaction of Nuclear Radiation with Matter ► https://youtu.be/Ara0eTv02No
24) What is Cherenkov Radiaton? ► https://youtu.be/AkR2daFw45U
25) Nuclear Detectors ► https://youtu.be/avvXftiyBEs
26) Geiger Muller Counter ► https://youtu.be/jxY6RC52Cf0
27) Scintillation Detector ► https://youtu.be/rjuFrk0-AOw
28) Semiconductor Detectors ► https://youtu.be/c1boCCYs77Q
29) What are Accelerators? ► https://youtu.be/-KslGjXEtKk
30) Van de Graaff Generator ► https://youtu.be/Q9bijrQfS6E
31) Linear Accelerator ► https://youtu.be/C79838wtRZo
32) Cyclotron ► https://youtu.be/L5zhpLfnqGc
33) Synchrotron ► https://youtu.be/rOXfm6EezeA
34) Betatron ► https://youtu.be/rOXfm6EezeA
35) Fission & Fusion ► https://youtu.be/L7_oi9zChqE
36) Proton-Proton & CNO Cycle ► https://youtu.be/aqnCfDqQlzA
37) Meson Theory of Nuclear Forces ► https://youtu.be/Wvjci2gP7eg
•••••••••••••••••••••••••••••••••••••••••••
NUCLEAR PHYSICS - PLAYLIST
https://www.youtube.com/playlist?list=PLRN3HroZGu2n_j3Snd_fSYNLvCkao8HIx
•••••••••••••••••••••••••••••••••••••••••••
#NuclearPhysics
#pravegaaeducation
Contact: 89207-59-559
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Angular Momentum Operators and Commutation Relations
Angular momentum operators are also described in Classical Mechanics but in quantum mechanics they can not be computed simultaneously. Commutation relations are described here in details.
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In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic physics and other quantum problems involving rotational symmetry. In both classical and quantum mechanical systems, angular momentum (together with linear momentum and energy) is one of the three fundamental properties of motion.
There are several angular momentum operators: total angular momentum (usually denoted J), orbital angular momentum (usually denoted L), and spin angular momentum (spin for short, usually denoted S). The term "angular momentum operator" can (confusingly) refer to either the total or the orbital angular momentum. Total angular momentum is always conserved, see Noether's theorem.
Spin, orbital, and total angular momentum
The classical definition of angular momentum is . This can be carried over to quantum mechanics, by reinterpreting r as the quantum position operator and p as the quantum momentum operator. L is then an operator, specifically called the orbital angular momentum operator. Specifically, L is a vector operator, meaning , where Lx, Ly, Lz are three different operators.